GCD of 59, 966, 800, 732 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 59, 966, 800, 732 i.e. 1 largest integer that divides all the numbers equally.

GCD of 59, 966, 800, 732 is 1

GCD(59, 966, 800, 732) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 59, 966, 800, 732 is 1

GCD(59, 966, 800, 732) = 1

GCD of 59,966,800,732 Calculator

GCDof 59,966,800,732 is 1

Given Input numbers are 59, 966, 800, 732

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Greatest Common Divisior

We found the divisors of 59, 966, 800, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 966, 800, 732 is 1.

Therefore, GCD of numbers 59, 966, 800, 732 is 1

Finding GCD of 59, 966, 800, 732 using Prime Factorization

Given Input Data is 59, 966, 800, 732

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 59 is 59

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 732 is 2 x 2 x 3 x 61

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 59, 966, 800, 732 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(59, 966) = 56994

GCD(59, 966) = ( 59 x 966 ) / 56994

GCD(59, 966) = 56994 / 56994

GCD(59, 966) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 732

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 732) = 732

GCD(1, 732) = ( 1 x 732 ) / 732

GCD(1, 732) = 732 / 732

GCD(1, 732) = 1

GCD of 59, 966, 800, 732 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 59, 966, 800, 732

1. What is the GCD of 59, 966, 800, 732?

GCD of 59, 966, 800, 732 is 1


2. Where do I get the detailed procedure to find GCD of 59, 966, 800, 732?

You can find a detailed procedure to find GCD of 59, 966, 800, 732 on our page.


3. How to find GCD of 59, 966, 800, 732 on a calculator?

You can find the GCD of 59, 966, 800, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.